Question Suppose that the piecewise function f is defined by v2 +4, -6z+v6+5, z>1 -2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that the piecewise function f is defined by
SV2 +4,
-6z + v6+5, z>1
f(x) =
-2<z<1
Determine which of the following statements are true.
Select the correct answer below:
O f(z) is not continuous at r = 1 because it is not defined atz 1.
O f(1) exists, but f(r) is not continuous at z 1 because lim f(x) does not exist.
O () and lim f(r) both exist, but f(z) isnot continuous at z 1 because lim f(z) f(1).
O f(2) is continuous at r = 1.
Transcribed Image Text:Question Suppose that the piecewise function f is defined by SV2 +4, -6z + v6+5, z>1 f(x) = -2<z<1 Determine which of the following statements are true. Select the correct answer below: O f(z) is not continuous at r = 1 because it is not defined atz 1. O f(1) exists, but f(r) is not continuous at z 1 because lim f(x) does not exist. O () and lim f(r) both exist, but f(z) isnot continuous at z 1 because lim f(z) f(1). O f(2) is continuous at r = 1.
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